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Mathematics ECAT Pre Engineering Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
The corner point of the boundary lines, x-2y
2x + y = 2 is:
Choose an answer
(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 2
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
Choose an answer
Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 3
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 4
A function which is to be maximized or minimized is called an
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Explicit function
Implicit function
Objective function
None
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Question # 5
Which of the following ordered pair is a solution of the inequality x+2y<6?
Choose an answer
(2,3)
(2,2)
(6,0)
(1,1)
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Question # 6
If 4 - x >5, then
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x > 1
x > -1
x < 1
x < -1
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Question # 7
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
Choose an answer
46
60
50
70
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Question # 8
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 9
The point ________ is in the solution of the inequality 2x - 3y > 5
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(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 10
The point (1,3) is one solution of
Choose an answer
3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 11
A point (x,y) which satisfy a linear inequality in two variables form its
Choose an answer
Solution
Domain
Range
None
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Question # 12
Each point of the feasible region is called
Choose an answer
Solution
feasible solution
Both a & b
None
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Question # 13
The graph of the linear equation of the form ax =by = c is a line which divided the plane into:
Choose an answer
Two similar regions
Two disjoint regions
Four equal parts
One region
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Question # 14
A point where two of its boundary lines intersect is called
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 15
The points (x, y) which satisfy a linear inequality in two variables x and y from its
Choose an answer
domain
range
solution
none of these
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Question # 16
Multiplying each side of an inequality by (-1) will:
Choose an answer
Not effect
Change the sign
Become zero
Not defined
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Question # 17
3x + 4
>
0 is
Choose an answer
equation
inequality
identity
none of these
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Question # 18
The graph of linear equation 2x + 3y = 10
Choose an answer
Parabola
Circle
Hyperbola
Straight line
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Question # 19
Inequalities have ______ symbol
Choose an answer
2
3
4
1
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Question # 20
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
Choose an answer
(1,4)
(4,2)
(3,1)
(4,1)
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Question # 21
(2, 1) is in the solution of the inequality
Choose an answer
2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 22
x = ________ is in the solution of 2x - 5 > 0
Choose an answer
0
2
-2
3
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Question # 23
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 24
If x < y, 2x = A, and 2y = B, then
Choose an answer
A = B
A < B
A < x
B < y
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Question # 25
3x + 4 = 0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 26
The feasible region which can be enclosed within a circle is called
Choose an answer
Bounded region
Convex region
Unbounded region
None
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Question # 27
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 28
Optimize means ______ a quantity under certain constraints
Choose an answer
Minimize
Maximize
Maximize or minimize
None of these
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Question # 29
(0,1) is in the solution of the inequality
Choose an answer
3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 30
ax + by < c is linear inequality in
Choose an answer
four variables
three variables
two variables
one variable
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Question # 31
Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0
Choose an answer
(1,0)
(0,4)
(3,0)
(8,0)
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